Answer:
time interval when Tree A is taller than Tree B is;
t > 5 years
Step-by-step explanation:
Tree A;
Initial height = 24 inches
Increase in height per year = 6 inches per year
Thus, for t years after being planted, height is;
A = 6t + 24
Tree B;
Initial height = 39 inches
Increase in height per year = 3 inches per year
Thus, for t years after being planted, height is;
B = 3t + 39
For tree A to be taller than tree B, then it means thay;
A > B
Thus;
6t + 24 > 3t + 39
Subtract 3t from both sides to get;
6t - 3t + 24 > 39
3t + 24 > 39
3t > 39 - 24
3t > 15
Divide both sides by 3 to get;
t > 5
Thus, time interval when Tree A is taller than Tree B is; t > 5
